2 540 609 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶³

Factored

Factor	Digits	Bits	Date
81299489	8	26.3	old
915076585188527	15	49.7	2014-05-08 12:38:27
2146643182956415057	19	60.9	2016-03-14 12:52:35

ECM

Digits	B1	Curves
25	50000	162 / 280

Estimated T-Level: 22.9 ⓘ

TF below 2^71 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-14	Oliver Kruse	E21B2F65A4DA9144	3	2444069	5	3
Verified	PRP without proof (not generated)	2017-12-01	storm5510	E21B2F65A4DA9144	3	2138487	5	3

History

Date	User	Type	Result
2022-08-24	USAFSS	NF-PM1	B1=300000, B2=259451010
2017-12-01	storm5510	C-PRP	M2540609/81299489/915076585188527/2146643182956415057 : E21B2F65A4DA9144
2017-10-14	Oliver Kruse	C-PRP	M2540609/81299489/915076585188527/2146643182956415057 : E21B2F65A4DA9144
2016-03-14	TJAOI	F	Factor: 2146643182956415057
2014-05-08	TJAOI	F	Factor: 915076585188527

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